5(c+1)=3c-7

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Solution for 5(c+1)=3c-7 equation:


Simplifying
5(c + 1) = 3c + -7

Reorder the terms:
5(1 + c) = 3c + -7
(1 * 5 + c * 5) = 3c + -7
(5 + 5c) = 3c + -7

Reorder the terms:
5 + 5c = -7 + 3c

Solving
5 + 5c = -7 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.
5 + 5c + -3c = -7 + 3c + -3c

Combine like terms: 5c + -3c = 2c
5 + 2c = -7 + 3c + -3c

Combine like terms: 3c + -3c = 0
5 + 2c = -7 + 0
5 + 2c = -7

Add '-5' to each side of the equation.
5 + -5 + 2c = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 2c = -7 + -5
2c = -7 + -5

Combine like terms: -7 + -5 = -12
2c = -12

Divide each side by '2'.
c = -6

Simplifying
c = -6

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